Lyapunov functions and L2 gain bounds for systems with slope restricted nonlinearities

被引：16

作者：

Turner, Matthew C. ^{[1
]}

Kerr, Murray ^{[2
]}

机构：

[1] Univ Leicester, Dept Engn, Leicester LE1 7RH, Leics, England

[2] Deimos Space SL, Madrid 28760, Spain

来源：

SYSTEMS & CONTROL LETTERS | 2014年 / 69卷

关键词：

Saturation; Anti-windup; Absolute stability; STABILITY CONDITIONS; MIMO NONLINEARITIES; CAUSAL MULTIPLIERS; SECTOR; ANTIWINDUP; SATURATION; EXISTENCE; MONOTONE; CRITERIA;

D O I：

10.1016/j.sysconle.2014.04.002

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The stability and L-2 performance analysis of systems consisting of an interconnection of a linear-time-invariant (LTI) system and a static nonlinear element which is Lipschitz, slope restricted and sector bounded is revisited. The main thrust of the paper is to improve and extend an existing result in the literature to enable (i) concise and correct conditions for asymptotic stability of the interconnection and (ii) reasonably tight bounds on the L-2 gain between an exogenous input and a given output to be obtained. Numerical examples indicate that the proposed algorithm performs well compared to competing results in the literature. (C) 2014 Elsevier B.V. All rights reserved.

引用

页码：1 / 6

页数：6

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